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Finding the Fourth Proportional to 25,600.55, 35,328.92 and 14,270.76

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Solution

The fourth proportional to 25,600.55, 35,328.92 and 14,270.76 is: 19,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.55 : 35,328.92 = 14,270.76 : x
  2. Step 2: Convert to fraction form
    25,600.55/35,328.92 = 14,270.76/x
  3. Step 3: Cross multiply
    25,600.55x = 35,328.92 × 14,270.76
  4. Step 4: Simplify right side
    25,600.55x = 504,170,538.38
  5. Step 5: Solve for x
    x = 504,170,538.38/25,600.55
  6. Step 6: Final answer
    x = 19,693.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.